10 .You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.       Ho:p1=p2Ho:p1=p2       Ha:p1≠p2Ha:p1≠p2 You obtain a sample from the first population with 97 successes and 375 failures. You obtain a sample from the second population with 76 successes and 189 failures.

You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.

You wish to test the following claim (HaHa) at a significance level of α=0.005.      Ho:p=0.35      Ha:p≠0.35You obtain a sample of size n=650 in which there are 209 successful observations.Determine the test statistic formula for this test.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.35. The sample data support the claim that the population proportion is not equal to 0.35. There is not…

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 68% at a significance level of αα = 0.05. According to your sample, 52 out of 82 potential voters prefer Candidate A. The test statistic =  (please show your answer to 3 decimal places.)   The p-value =  (Please show your answer to 4 decimal places.)